In major part of the world, we have a patrilocal culture as of now. That is, girls, after marriage, are send away to live with the husband's family. But given, most of the care jobs are done by women, it's only logical that women get to stay with their own parents and take care of them instead of husbands' parents, their husbands' sister can take care of their husbands parents. It's completely illogical and heartless, the current societal set-up. We have so many domestic abuse, negligence, marital rape cases. If we had matrilocality everywhere, and that means men from these cultures also get to live with their parents, and visit wives' places when they want; it would have significantly reduce these type of societal curse. After all, it's the women's own parents, who cares for them the most, and it's the couples' own daughter (and sons, we should make a society without gender-role, boys can also take care of their parents), that care of the couple the most.
Then comes the question of inheritance. Now, we all know women are the ones giving birth to the babies and taking care of the babies and children the most. Men are coming forward, but there are so much cultural and social barriers, and there is the huge barrier of our capitalistic and gender-role based society too, (someone's gotta earn for the family when the women are pregnant, or the babies are little and need their mommies, although this gendered idea of babies' need is in many ways a societal construct, but as long as people aren't above these gender role ideas and egos, we don't want to compromise with the babies' support and safety, do we?) that it forces women to depend on a man, the father of the baby, to make sure her and her babies' livelihood is taken care of. That system is marriage, and this system is too illogical to be considered as a valid system. Depending on a man comes with it's own demands, women have to take care of the man's household, his parents and siblings, his sexual demands to name a few. This transaction system is too stereotypical, and women don't get a chance to look after her own parents and siblings, tend to her own dreams and careers living in this system. This is why, we need matriliny, inheritance passing down from mothers to daughters. Men are much more free to pursue a paid job outside, when kids are small, and men don't become pregnant. But if women have access to family money from the mother's side, if family inheritance pass down the woman line, women won't have to necessarily marry a man just to arrange for her and the kids' livelihood.